我国公共文化服务资源配置的时空分异研究

[目的/意义] 厘清公共文化服务资源配置的时空分异现状与特征,旨在指导公共文化服务资源配置工作,帮助推进我国公共文化服务均等化发展。[方法/过程] 运用全局熵值法对我国31个省级行政区的公共文化服务资源配置水平进行测度,采用 Dagum基尼系数和Kernel密度估计方法,探讨公共文化服务资源配置水平的地区差距及其分布动态演进过程。[结果/结论] 基尼系数分解结果表明,我国公共文化服务资源配置水平总体差距整体上呈缩小态势,超变密度构成了地区差距的主要来源。Kernel密度估计表明,我国公共文化服务资源配置水平在考察期内略有上升,公共文化服务资源配置水平较高的省份与公共文化服务资源配置水平较低的省级行政区之间的差距正逐渐扩大,且全国和西部地区的两极分化趋势较为突出。     

Vicente Gonξcalves 不等式的一个注记

In this paper,a new proof of the inequality of Vicente Goncalves was given.The method may be powerful to deal with some problems of polynomials.As an application,a new inequality for the coefficients of a polynomial and its roots was derived.     

基于水平集方法的连续体结构拓扑优化方法研究

采用水平集方法描述结构的拓扑及其变化,使用紧支径向基函数对计算区域的水平集进行插值以得到参数化的水平集方法。针对给定体积约束下结构最小柔度的拓扑优化问题,推导了目标函数对插值系数的灵敏度及拓扑优化的迭代格式,数值计算表明,使用该方法进行结构拓扑优化得到的结果边界形状光滑连续且计算稳定性较好。     

关于Hardy-Hilbert不等式的多参数推广

对Hardy-Hilbert不等式进行了研究,并将其进一步改进如下：若p〉1,1/p＋1/q=1,0〈A,B≤1,an,bn≥0,使0〈∑∞n=0apn〈∞,0〈∑∞n=0bqn〈∞,则∑∞m=0∑∞n=0ambn/Am＋Bn＋1〈{∑∞n=0（π/Bsin（π/p）-（3p-B）（ p-1）/6p（2An＋）11/p）anp}1/p{∑∞n=0（π/Asin（π/p）-（3q-A）（q-1）/6q（2Bn＋1）1/q）bnq}1/q.所得结果改进和推广了最近文献的一些相应结果.     

Investigating the relationship between pre-service physics teachers' professional knowledge,self-concept,and interest

This study investigates the relationships between professional knowledge, self-concept, and interest of pre-service physics teachers. In order to support student learning and interest development alike, teachers need a profound professional knowledge and respective motivational orientations. Developing both professional knowledge and motivational orientations in teachers is therefore a key challenge of teacher education. Prior research has focused on the development of content knowledge (CK) and pedagogical content knowledge (PCK) within teacher education, but the role of motivational orientations such as self-concept and interest have mostly been neglected areas of study. As individuals develop domain-specific motivational orientations, they compare their achievement in an external frame to the achievement of their peers, and they compare their achievements in an internal frame across domains. The effects of these psychological processes on domain-specific motivational orientations are described by the generalized internal/external frame of reference model (GI/E model). We assessed the professional knowledge (CK and PCK) and motivational orientations (self-concept and interest) of N = 200 pre-service physics teachers from 12 teacher education institutes in Germany. To investigate the predictions of the GI/E model, we utilized structural equation modeling. In line with the GI/E model, the analysis revealed that pre-service teachers use social comparisons. Pre-service teachers with a higher CK/PCK also showed a higher CK/PCK self-concept. We also identified instances of internal comparisons as we found that a high level of CK corresponds with a lower PCK self-concept. While we could not identify the same effects from professional knowledge on interest, self-concept mediated the effects from professional knowledge on interest. The results suggest that interdependencies between professional knowledge and motivational orientation should be given more consideration in teacher education research and should also be addressed more explicitly in teacher education.     

Unpacking teachers’ intentions to integrate technology: A meta-analysis

The Technology Acceptance Model (TAM) is a key model describing teachers' intentions to use technology. This meta-analysis clarifies some of the contradictory findings surrounding the relations within the TAM for a sample of 45 studies comprising 300 correlations. We evaluate the overall fit of the TAM and its structural parameters, and quantify the between-sample variation through meta-analytic structural equation modeling. The TAM fitted the data well, and all structural parameters were statistically significant. On average, the TAM variables explained 39.2% of the variance in teachers' intentions to use technology. Several sample, measurement, and publication characteristics, including teachers’ experience and the representation of the TAM variables, moderated the relations within the TAM. Overall, the TAM represents a valid model explaining technology acceptance—however, the degree of explanation and the relative importance of predictors vary across samples. Implications for further research, in particular the generalizability of the TAM, are discussed.     

不等长双缝夫琅禾费衍射光强分布

根据夫琅禾费衍射与傅立叶变换的关系,数值计算了由宽度相同而长度不同双缝组成衍射平面的夫琅禾费衍射光强分布,结果表明双缝长度之比是影响干涉条纹的可见度的主要因素。     

马克思再生产模型中的最高、最低积累率

马克思的两部类再生产模型中的各部类和全社会最高与最低积累率问题,是尚未获得完满解决的难点问题。本文运用单调函数的性质和求函数最大、最小值方法,通过解析,给出了静态意义下的各部类和全社会最高及最低积累率与两个部类结构参数的函数关系式。并且引用和借鉴《资本论》中的举例,对给出的函数关系式做了算例验证。     

参量化的Hilbert型积分不等式

通过应用权函数方法和实分析技巧,给出一个推广的具有最佳常数因子的Hilbert型积分不等式.作为应用,考虑了它的等价形式及一些特殊结果.     

具有输入饱和的非线性广义时滞系统的H∞控制

研究一类具有输入饱和的非线性广义时滞系统的H∞控制问题.使用线性矩阵不等式方法和Lyapunov稳定性理论给出该系统具有H∞范数约束γ的充分条件,并给出一种H∞控制器的设计方法.运用一个数值算例来说明本文方法的有效性.